Question

Find the area of the shaded region given SAT=90° and radius of circle A is 12cm

Answer 1

Answer:

AD=

9

2

+9

2

=

81+81

=

162

=9

2

cm

∴ Area of shaded region

=Ar(semi−circle)+Ar(rectangle)−ar(ΔAED)

=

2

πr

2

+l×B−

2

1

×b×h

=

2

3.14×

2

9

×

2

9

+12×9

2

−

2

1

×9×9=63.58+152.28−40.5

=175.36cm

2

solution